EVEN NUMBER OF POSITIVE SOLUTIONS FOR 3n th ORDER THREE-POINT BOUNDARY VALUE PROBLEM

TitleEVEN NUMBER OF POSITIVE SOLUTIONS FOR 3n th ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Publication TypeJournal Article
Year of Publication2010
AuthorsPRASAD, KR, DEVI, KLSARASWA
Secondary TitleCommunications in Applied Analysis
Volume13
Issue3
Start Page393
Pagination408
Date Published08/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS34B05, 39A10
Abstract
We are concerned with the existence of even number of positive solutions for the 3n th order three-point boundary value problem
satisfying the boundary conditions
for 1 ≤ i ≤ n, where n ≥ 1, t 1 < t 2 < t 3 and is continuous. We establish the existence
of at least two and then 2m positive solutions for an arbitrary positive integer m, by using the Avery
and Henderson functional fixed point theorem.
URLhttp://www.acadsol.eu/en/articles/14/3/9.pdf
Short TitleEVEN NUMBER OF POSITIVE SOLUTIONS
Refereed DesignationRefereed
Full Text

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